Give a rule of the piecewise-defined function. Give the domain and the range. What is the rule? Select the correct choice below and fill in the answer boxes within your choice. OA. f(x) = { if x< if x> G O B. f(x)= if xs if x> kl ₁ L À →

Q: e) lim x-1 2x+7+√x+3-5 x-1

A: We need to solve the limit without use of L-hospital rule.

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Q: Find (5 cos(x) + 6 sec²(x)) dx (5 cos(x) + 6 sec²(x)) dx = +C

A: Integration

Q: 32. Stan tan Ꮎ cos Ꮎ de

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Q: (b) x = y³ Make a table of values, and sketch the graph of the equation. y O -5 5 y-intercept (x, y)…

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A: given  x2+16x

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Q: 7) Use the method of Undetermined Coefficients to solve y) +2y"+y = 3 sint - 5 cost. You can use…

A: Please see the below picture for detailed solution.

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Q: Find the local maxima and minima for the function. Find the intervals on which it is increasing and…

A: Here we have to use the concept of differentiation

Q: Give

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Q: Find the complex zeros of the quadratic function. Graph the function. f(x)=x²+36 x= (Simplify your…

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Q: Add as indicated. Express your answer as a single polynomial in standard form. (x² + 4x +9) + (8x-7)…

A: The given expression is: x2+4x+9+8x-7  Express as a single polynomial in standard form.

Q: · [(3x 41. + 2)² dx (Hint: Expand first.) (3x +

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Q: 7. Set up the integral for the total fluid pressure of on the plate submerged in water in the…

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A: A through is 4ft. Long and its end have the shape of isosceles triangle that are 4ft. across at the…

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Q: Tell whether the expression is a polynomial. If it is, give its degree. If it is not, state why not.…

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Q: Consider the following function. F(t) = 3t5 5t³ + 15 Find the derivative of the function. F'(t) =…

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Q: Determine all inflection points. f(x) = 9e-6x²₁x²0 Identify the coordinates of any inflection…

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Q: 67. Let f(x)=√x³ +1. o fº√x² S a. Find a Midpoint Rule approximation to b. Calculate f "(x). x³ + 1…

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Q: The position of an object in circular motion is modeled by the given parametric equations. Describe…

A: Please see the below picture for detailed solution.

Q: Solve the following initial value problem, d²y dt² +y= uπ/2(t) +38(t − 3π/2) – U2π(t) (t≥0), - y(0)…

A: NOTE: Refresh your page if you can't see any equations. . the given DE is  take Laplace on both…

Q: Use implicit differentiation to find an equation of the tangent line to the ellipse defined by x² -…

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Q: Determine whether the following series converges or diverges. M8 n=1 20 (5n-1)(5n+4) Select the…

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Q: Find a plane containing the line y(t) 4x - 5y + 5z = 7 Question Help: Video Calculator x(t) = y(t) =…

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Q: Find the exponential function f(x) = Ca* whose graph is given. f(x) = y (1,10) (3,250) X

A: Given query is to find the function.

Q: Complete the graph using the given symmetry property. Symmetric with respect to the x-axis -3 -3 y Y…

A: The graph of the equation y2-x2=1 is given. We have to sketch the graph of the symmetry with respect…

Q: f(x) = cos(√x) + 2 The slope of the tangent line to the curve y = f(x) at the point where x = 4 is A…

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Q: S dx 2√x+3+3

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Q: 1 The price p (in dollars) and the quantity x sold of a certain product obey the demand equation p =…

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Q: B. Continuity or Discontinuity. Write Continuity if the given is continuous and if Discontinuity. 1.…

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Q: Consider the following. -5 -4 -3 -2 + range 1 y 5 4 2 1 -1 -2 -3 -4 -5 1 + X 2 3 4 5 Use the…

A: Consider the curve

Q: Find the volume V of the solid obtained by rotating the region bounded by the curves x=4√y,x=0,y=6;…

A: Here we have to find the volume.

Q: Activity 3.3.3. Find the exact absolute maximum and minimum of each function on the stated interval…

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Q: Silver 108 is a radioactive isotope that decays at a rate proportional to the amount present and has…

A: Solving the following problem

Q: -3 2x + 1

A: Please see the below answer.

Q: Determine all inflection points. f(x) = 4x³ - 12, XER What are the coordinates of the inflection…

A: Here we have to find the inflection points.

Q: Find a matrix P that orthogonally diagonalizes A, and determine P-¹AP for 1 1 0 A = 1 1 0 000 -6

A: The given matrix is: A=110110000

Q: xy² Find 22414A, SS dA, R= [0, 1] × [-2,2] X +1 R

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Q: Find the absolute maximum and minimum values of the function, if they exist, over the indicated…

A: If x=c is a critical point of the function f(x) if f(c) exists and if either f'(c) =0 or f'(c) does…

Q: Can you explain the reversing step (first step) in detail?

A: Given Integral:- ∫02∫y2ex2dxdy

Q: hot, wet summer is causing a mosquito population explosion in a lake resort area. The number of…

A: Given query is to find the number of increase from 5th to 9th week

Q: 3) Use the Comparison Theorem to determine whether the integral is convergent or divergent. 1+ cos²x…

A: The comparison theorem is used to find if the given improper integral is convergent or divergent. In…

Q: What is the angle in radians between the vectors a = (7, -6, -9) and b = (7,-9, 5)?

A: According to question,Given vectors,a⇀ = 7,-6,-9b⇀=7,-9,5

Q: Find and sketch the domain of the function. f(x,y)=√y-x-3

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Q: y = In(5x), y = 1, y = 4, x = 0; Sketch the region. 3 1

A: As mentioned we have to only sketch the graph based pn given boundations.

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Q: Find the slope of the tangent line to the ellip x² y² + 25 4 slope = = 1 at the point (x, y).

A: given ellipse equation is :-x225+y24=1  then we have to find slope  of the tangent  line to ellipse…

Q: Consider the following function. 864 X g(x) = 2x² + + 12

A: